A Unified Lyapunov Approach to Analysis of Oscillations and Stability for Systems With Piecewise Linear Elements

被引：9

作者：

Hu, Tingshu ^{[1
]}

Thibodeau, Thomas ^{[2
]}

Teel, Andrew R. ^{[3
]}

机构：

[1] Univ Massachusetts, Dept Elect & Comp Engn, Lowell, MA 01854 USA

[2] Polar Controls, Shirley, MA 01464 USA

[3] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 12期

基金：

美国国家科学基金会;

关键词：

Piecewise linear systems; piecewise quadratic function; self-induced oscillation; stability; AFFINE SYSTEMS; INVARIANT-SETS; COMPUTATION;

D O I：

10.1109/TAC.2010.2073070

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear elements. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. The analysis results for self-induced oscillations are easily adapted to global or regional stability analysis.

引用

页码：2864 / 2869

页数：6

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